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How long is it likely to take for a decision? (German Schengen Appeal)
A Schengen appeal against a consular decision is referred back to Germany and the process can last up to 90 days. They would have advised you of this in the appeal guidance.
Will they call me or will they just issue a visa in my name?
They will usually notify you by email that a decision has been reached and your paperwork will follow in the post. The email will include the tracking number of the delivery service. Generally, emails do not disclose if the appeal was allowed or dismissed. If your appeal was allowed, you will asked to schedule a personal appearance at the German consulate to finish the issuing process.
Can I reapply again?
If your appeal was dismissed, you will be able to apply again. Schengen applications have no cooling off period. It is standard advice that you should hold off on a fresh application until you are sure all of their objections have been fixed.
You didn't tell us the reasons for your refusal (or the mitigation in your appeal), but you might find this question/answer useful. Also this one.