A - Although he denies them, Dr. Vasequez faced several scandals last year.
A complex sentences must have both a dependent clasuse (although he denies them) and an independent clause (Dr. Vasquez faced several scandals last year.
Options B and D are compound sentences (two independent clauses) and option C is a simple sentence.
The horse is the direct object
Freedom!!................
1 telling
2 to see
3 to take
4 smoking
5 going
6 to interrupt
7 having
8 (I think you had a typo and it should say stay?) to stay
9 to go
10 being