Independent Clauses

Hello all,
I am here to get some feedback on my latest attempt on dependent vs independent clauses.
I have struggled wit these for some time (as an ESL learner)

The following examples are what I believe is correct. If I can get someone who is experienced with these to give me some feedback I would be very appreciative.
I have identified all of the dependent clauses in each sentence.

1). We are praying he will attempt to run [for mayor] [of our town] [in the next election]. (3)
2). Bill thinks you should run. (0)
3). Give me some [of that ice cold tea] [with lemon chunks]. (2)
4). Running [for the the truck], she fell and bruised her elbow and later went [to the doctor]. (2)
5). Let's go out [for snow cones] [following the game] [if you want to]. (3)
6). I cannot believe what you are telling us is the truth because bill has never been in prison. (0) (2 independent)
Thanks for the support of all,
-Sara B.