Electric guitar...

I think those songs are good choices.

The thing with the B string is that anything that uses it is different from anything played on only the EAD and G.
(except things that are only B and high E)

It's just different to work with...but you get used to it.

Don't get frustrated if you can't play all of a song. That's very common, especially leads.
There are LOTS of songs I only know the main riff to.
...and one of my favorite sayings about leads is "if I could play that like Van Halen/Glenn Tipton/Tony Iommi/etc, do you think I' would still be a computer guy all week, playing in my living room for fun?"