There are literally thousands of handwriting fonts (look on creativemarket for example, but - like other sorts of faces - they're all different.
One of the most impressive I've seen recently is Liebeheide.
The most clear one (3rd image) is a hand drawn replica credit to the artist . I'm working on a design inspired by this for a client and I cant seem to find an exact replica, although I've some that are close. Thanks in advance!
Can't see the exact match - Warmesty is close. If you want to find a closer match, you could scroll through eg Creative Market but be warned, there are thousands of them...
There are literally thousands of these script fonts - eg on Creative Market, so you shouldn't have any problem finding something similar.
"SPEICAL THOUGHTS" is probably Adobe's Minion Pro.
Yes, as you've probably noticed, there are literally thousands of these 'hand-written' fonts (eg here) so you'll have to go through them all if you want an exact match... ;(
You could also try telling your friend that using more than two or three fonts isn't good design practice... It looks a bit like a google search results page ...
i dont think that's installed on any phones by default, but could have been downloaded say on Android eg - https://play.google.com/store/apps/details?id=com.monotype.android.font.goudysans&hl=en_US