Periods. Can trans girls have them? And other questions

(LOOK FOR ! ! ! TO SKIP CONTEXT AND JUST SEE QUESTIONS)

So, Im 1 month on estrogen and using injections.

I have felt emotional fluctuations over the past short while. 12ish days ago all I wanted was to have sex. Like it was insane. I wanted romance and intimacy and could think of nothing else. I was talking with a cis long time friend about it and she shared her experiences with ovulation and it sounded similar apart from that I was robbed of my ovaries at conception.

The topic eventually shifted to sex itself and I burst into tears. I wanted that first time, letting someone I love inside. Giving him the most sacred part of my body in an act of ultimate love. But I dont have a pussy, and at that time had no boyfriend either. It broke me

Fast forward a week and I was really upset and had a shortened temper. Didn't want to dress up all nice and wasnt interested in much other than sleeping and being upset about bottom dysphoria

Currently feeling neutral and am excited to go out tomorrow.

! ! !

Onto the actual questions. Did I experience what would have been a period if I was cis?

If yes, do tracking apps work for trans girls? Ive looked into them but feel like an impostor. (And i get huge dysphoria about not having a female reproductive system)

Were the cramps I felt during the moody phase period related or just coincidence?

Thanks in advance for the help, gals! I appreciate all of you <3