Can I get pregnant after I've had a miscarriage?

Yes. There are a number of reasons for a miscarriage. Most, however, are a random event and a single miscarriage does not predict future problems. The fact a patient has a miscarriage at least indicates the ability to get pregnant. Repeat miscarriages should be evaluated. There may not be a solution or the solution may be easier than one thinks.
Yes. You should still be able to conceive once you resume your normal cycles.