I will leave Keith to answer your questions in detail however;
1. Yes, when you start ULT you dissolve crystals, when crystals are dissolving, they are released into the blood. During this phase UA levels will rise. Think of it like this, put a block of sugar in warm water and start stirring it. As more of the sugar dissolves, the concentration of sugar in the water rises hence why it becomes sweeter.
2. It will more then likely fluctuate again and probably be lower as time passes.
3. Taking your allopurinol medication correctly will eventually get you back on track and you may even possibly have to lower your dose later down the line.
It would be wise to consult your rheumatologist before increasing your dose yourself however.