All EF lenses are compatible with all canon Eos cameras, whether film or digital.
Regarding your 50mm lens, remember that it will not give the field of view that you are used to, once it is on a digital body. If you wish to replace this type of lens to get a similar field of view, I'd suggest the Canon EF 35mm f/2 or the sigma 30mm f/1.4 or the Canon EF 28mm f/1.8 - these will give a similar 'standard view'
The 50mm, IMO, is too long for walk about use on the 1.6 crop cameras. It's a good range for portraits, and that's about it - again IMO. A lot of people on here really love the 50mm focal length.
Your zoom will be just fine, probably better quality than similar spec focal ranges would give you bought today.
I'd suggest learn to use the camera with the lenses you already have, AND the kit lens, and get comfortable with the camera before worrying about spending serious money on L lenses. Take your time over this, there is a huge diversity of opinion on all this stuff, and there is so much cool gear out there, it can get very confusing.
Have a read of the Digital Picture, http://www.the-digital-picture.com/Reviews/
it reviews pretty much all the Canon lenses available, also some of the 3rd party lenses, and will give you an idea of what gear is out there. also some idea of what to look for in terms of quality etc.