Insomnia and other signs labor are near??

I'll be 38 weeks on Saturday. Started feeling some period like cramping, having Braxton hicks more frequently, my cat is acting super weird, diarrhea, baby moving constantly all of the sudden, a bit nauseous, but the worst thing is the insomnia. I'm tired. I feel tired all day long and while it is certainly harder to get comfortable but not impossible. And for the last 3-4 nights I just lay awake until my alarm goes off and I end up staring at the clock, so exhausted and frustrated. I've tried several things to get a good night sleep. But the only time my body feels ready to rest is at 7am when it's time for me to get up. Anybody else experienced any of these things and gone into labor soon after?