39 weeks and losing mucus plug? Signs of labor?

[HarrahBug]

Hi, so I turned 39 weeks yesterday (on Tuesday) and ever since Sunday I noticed I've been having a very thick, yellowy, mucus-like discharge. This is my first child and so I'm not sure what a mucus plug looks like. Starting on Sunday morning, I also had body aches, sinus pressure and headache, and some nausea with eating. Th at has pretty much gone away by now, but I'm wondering if maybe all of these are signs that I'll be going in to labor soon? I'm also feeling tired all the time and going to the bathroom more often (#1 & #2)

Your replies are very much appreciated! Also, are there any good methods of home induction? Please let me know!