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I need help on my chapter's fluff and i was hoping if anyone knew any
Diy chapter friendly conflicts that my chapter could partake in? For example the 1st, 2nd and 3rd wars of armageddon.

The First and Second Armageddon wars are off limits for homebrew Chapters, as it lists that only the SW and GK took part in the First, and the Salamanders, Ultramarines, and Blood Angels took part in the Second.

Possible battles you may have taken part in are:
Defending against any of Abaddon's Black Crusades (depending on when the Chapter was founded)

The Damocles Crusade against the Tau (under command of Captain Sicarius - this is the best one IMO)

Tyrannic Wars

Sabbat Worlds Crusade

Third War for Armageddon

These are just some of the big crusades your Chapter may have taken part in, or you can make your own up.

Achilus Crusade in the Jericho Reach (Deathwatch RPG).

Crusade of Fire.

The others were mentioned by Sgt_Smudge.

When (roughly) are you looking for?

In M.41 those are the famous ones (aside from the Badab War, but the roster for that is pretty well established).

The wars of the Nova Terra Interregnum or the Age Of Apostasy are not bad if they're old enough....