True or False? Explain

1. Consider two bonds, A and B, with face value $1000. The coupon rate of A is higher than the coupon rate of B. As long as both bonds are trading below par, the yield-to-maturity of bond A must be higher than the yield-to-maturity of bond B.

2.A European call option on a non-dividend-paying stock, with a non-negative strike price, cannot be worth more than twice as much as the price of the stock.

I am struggling with these questions. Can you help me answer True or False and explain?