Will bad speed sensors cause my front brakes to engage

 

do you mean the abs sensors? i had a problem with my brakes doing that i changed my wheel bearings(hubs) and havent had it happen again

 

If you mean pedal shake when you're trying to stop, yes. But should not without pressing the brake pedal in the first place.
Dirty abs hub sensors
https://www.google.com/search?q=clea...lazerforum.com

 

Kinda feels like they're engaged all the time...gonna try calipers first and maybe hoses