Looking to get a tattoo with the following phrases and am looking for the proper Irish translation for them.

“Despite all that there is, I will rise “
And
“My story has not ended”

Any help would be greatly appreciated !

D’ainneoin a bhfuil ann, éireoidh mé. (or shorter: ... éireod.)

Níor chríochnaigh mo scéal. (lit.: "not ended my story") or
Níor tháinig mo scéal chun deiridh. (lit.: "not came my story to end") or
Níor tháinig deireadh le mo scéal. (lit.: "not came end with my story")

Just a question: why wouldn't you say "D'ainneoin gach rud a bfhuil ann . . ."? Is it not necessary to translate "all" in some way?

The relative pronoun "a" (+ eclipsis/dependent verb form, past tense ar) is completely sufficient. It translates as "all (that)"
It resembles the indirect relative particle - but it never has an antecedent.
(It is its own antecedent - so it is called "forainm coibhneasta réamhtheachtach" in Irish grammar terms.)
Sin a bhfaca mé. = That's all that I saw.
d’ainneoin ar chuala tú = despite all that you heard
Ba é a raibh uaim é. = It was all I needed.

gach rud = everything. (+ direct [!] relative clause)
gach rud atá ann = everything that there is.
d’ainneoin gach ruda atá ann = despite everything that there is.

Both can be combined in different ways:
gach a bhfuil ann = every one that there is ("every [bit of] all that there is")
gach rud dá bhfuil ann = everything that there is ("every thing of-all that there is"; dá = de + a)

Is it -- gach rud a bfhuil ann OR gach rud atá ann?

gach rud atá ann

Thank you.