Woohoo! And you're on your way. This is how you get to be "handy", one job at a time, one tool at a time, looking for that next dose of satisfaction from "I did it! and I can handle that too!"
Just a sidebar on the sink fix, I've found that frequently getting the old one off IS the job, and faucets,etc., have a lot of wet/dry gunk, old soap, etc., gluing them in place. Nowadays plumbing is kinda fragile (PVC, etc) and you can't really torque it without courting disaster and more trips for parts. I've used a small, household steamer unit that cleans gunk, gently heats it up and wets it enough to act as a lubricant so that the old fittings come right apart.