Beautiful specimens! I think your guesses are correct, the first cactus mos def looks like Parodia/Notocactus scopa and the second cactus looks like Mammillaria geminispina ssp. leucocentra var. nivea or var. nobilis.
I've since gotten a Mammillaria Bombycina and noticed how the spines curve differently so now I'm 90% sure it's a Parodia Scopa! Will definitely have to look more into the 2nd one! Thank you for taking the time to comment! I really appreciate it! 😊
Parodia are beautiful bloomers. I'm in south Texas and grow a variety of cacti. One of my favorites is my Parodia schlosseri. If you're on Facebook, there's a group called Texas Cactus and Succulents and there are people on there who will be able to identify your plants. Lot's of knowledge in that group with no drama.