Yes, increased discharge in the first trimester is totally normal lah, hormones are going crazy at that time. Just make sure it's clear or milky without any strong smell or itching, and if anything feels off or you're worried, best to mention it to your gynae at your next check-up just to be safe. Plenty of us go through the same thing so you're not alone.
Yes very very normal! Use a pregnancy safe intimate wash for this problem