The Bill is a great board. IMO one of the best. Really fun and most love it. I've spent a lot of time on one and it's very easy to get along with and learn on. I think you'll do just fine.
The 134 is good. My sister is about your size (and a circus performer) and she rides a 137 very comfortably so if you wanted to you could ride a bigger one, but it's all personal preference. I ride the biggest board i can get my hands on and have kinda passed that onto my sis.
It is a loose board but it comes with 1 inch fins, if you're having a hard time with surface tricks you may want to look at some smaller ones or put the park fins in.
When I ride park/cable I always ride without fins, you should give it a go, it'll teach you to use your edges better.
There's always an adjustment period when switching boards so try not to get frustrated when if it all falls apart for a couple sets, its normal. take it easy.