It seems you are asking about the things or upacharas that are offered to a deity in worship. Then it is not necessary that they are all offered together during arati. They are all offered one by one, in a definite order.
The number of upacharas can vary from 5 (as in panchopachara puja) to 10 (as in dasopachara puja) to the most common 16 ( as in shodashopachara puja) to 18 (as in asthadasopachara puja ) to even 64 (as in chatuh shasti upachara puja).
Pancha Upacharas:
Atho PanchopachArAhA : Gandham Pushpam TathA Dupam Dipam Naivedyameva
Cha | Akhandam PhalamAsAdya Kaivalyam Labhate
.......................................
Gandha (Scented things like sandalwood paste etc) , Pushpa (flowers),
Dhupa (incense), Dipa ( lighted lamps) and Naivedya ( or food
offerings); These five things are known as Panchopachara in Deva Puja.
One attains kaivalya ( or liberation) by offering whole fruits to Gods.
Dasa Upacharas:
Atha DasopachArAh: PAdyamarhyam TathAchamam MadhuparkAchamanam TathA |
Gandhadayo NaivwdyAntA UpachArA Dasa KramAth ||
...............................................
PAdya (water for washing feet), Argya (water for washing hands),
Achamaniya (water for sipping), Madhuparka (sweet offerings made with
honey,sugar etc), Achamaniya, Gandha, Pushpa, Dhupa, Dipa and Naivedya
: These tenfold things are known as Dasa Upacharas.
Shodasha Upacharas:
Atha ShodasopacharAh: Padyamarghyam TathAchamam SnAnam Vasana Bhusane
| GandhapushpadhupadipanaivedyAchaman Tatah || TAmbulamarchanA Stotram
Tarpanamcha NamshkriyA | Prajojayeccha PujAyamupachArAmsthu Shodasha
||
....................................................
Padya, Arghya, AchAmaniya, SnAniya (water for head bath), Vasana
(clothings), Bhusana (ornaments), Gandha, Pushpa, Dhupa, Dipa,
Naivedya, Achamaniya, TAmbula (betel leaves and nuts), Stotram
(hymns), Tarpana ( act of offering water from Deva Tirtha in hands)
and Namaskara (prostrations). A devotee should offer these 16
upacharas to God during puja.
Ashta Dasa UpachAras:
Atha AshtadasopachAraha: Asanam SwAgatam, PadyamarghyamAchamaniyayakam
| SnAnam Vastropavitancha BhushanAni Cha Sarvvasah || Gandham, Pushpam
TathA Dhupam Dipamannacha Tarpanam | MAlynulepanananchaiva
NamaskAravisarjane || AshtadasopachAraintu Mantri PujAm SamAchAreth ||
..........................................
Asana (seat), SwAgata Prasna ( don't know how to translate this to
english ), Padya, Arghya, Achamaniya, SnAniya, Vastra, Yajnopavita
(sacred thread), Bhusana, Gandha, Pushpa, Dhupa, Dipa, Naivedya,
Tarpana, Malya (garland), Anulepan (body mask) and namskar . The
sadhaka should perform puja to Ishta Devata with these 18 upacharas.
All verses are from a Hindu Agamic scripture called the Siddhi Yamala.
Now to understand the deeper meanings of offering these things we need to see how are these things offered while we are doing a mental worship ( a manasa puja where external objects are not required).
For doing that, i am quoting from the procedure of mental worship of Sri Devi ( Divine Mother or Sri Adi Parashakti) as detailed by Lord Sadashiva in the Mahanirvana Tantram:
From MahAnirvAna Tantram's Chapter 5:
Pujayeth Paraya BhaktyA MAnasairuppachArakaihi || HritpadmamAsanam
DadAth SahsrArchyutAmrityeihi| PAdyam Charanayoddardhyath
Manastvarghyam Nivedayeth || TenAmritenAchamanam SnAniyamapi Kalpayeth
| AkAshtattvam Vasanam Gandhantu Gandhatattvakam || Chittam
Prakalpayeth Pushpam Dhupam PrAnAn Prakalpayerh | Tejastattvantu
DipArthe Naivedyacha SudhAmbudhim || AnAhatadhvanim GhantAm
VAyutattvancha ChAmaram | NrityamindriyakarmAni ChAnchalyam Manas
statha ||
................................................
Description of manasa puja : The devotee should imagine and offer his
own lotus like heart as seat (asana) to Devi. He should offer the
nectar (amrita) that flows from the Sahasrara lotus (at the top of the
head) as padya (water to wash feet). The mind should be offered as the
arghya. And the aforementioned amrita should be offered as the water
for bath and that for sipping. The devotee should imagine the ether
element in him as the vasan or clothings and should imagine the earth
element within him as the gandha offering. The Chitta ( mind) should
be imagined as flowers. The 5 pranas ( prana, apana, vyana, udana and
samana) are to be imagined as the incense. Our fire element should be
offered as lighted lamps. The unstruck sound in the anahata chakra is
to be offered as ghanta or ringing of bells. The sudhambudhi inside us
is offered as food to Devi. The wind element inside is to be offered
as the chamara or fan. All acts that the indriyas (or the senses)
perform and all fickle-mindedness (or disturbances) of mind are to be
offered as dancing.
Verses 142- 146.
From the above passage you will get the real significance of specific offerings or the upacharas used in deity worship.
As regards the pushpa or the flower part, it has special significance. There are a total 15 kinds of flowers that are offered to Devi ( or any deity) all of which have deeper symbolism. Among these 15, i am mentioning about the pancha pushpas or the 5 flowers which are very dear to Devi.
Ahimsa Paramam Pushpam Pushpamindriyanigrahah | Daya Kshama
GyAnapushpam Panchapushpam Tatah Param || (Verse 149)
.......................................................................
Non violence is the best flower offering. Control of the senses,
compassion, forgiveness and knowledge are the other 4 making the total
panchapushpas.
EDIT:
Normally, while doing panchaopachara puja (while mantra japa or otherwise) we also chant mantras like
lam prithviatmikayai gandham samarpayami, ham akashatmikayai pushpaihi pujayami, yam vayabathmikai dhupam
aghrapayamai, ram agniatmikayai dipam darsayami, vam amritatmikayai
amritam mahanaivedyam nivedayami etc
So, the correspondence that these mantras suggest is the following:
Earth element ---------> Gandham.
Ether element ----------> Pushpa.
Air element ------------> Dhupa.
Fire element ------------> Dipa.
Water element -----------> Naivedya.