Hello & thanks for all your help again!
I need to come up with an explanation for why the first structure is a stronger base
It is because the resonance structure gives a positive charge on nitrogen, which makes nitrogen less likely to accept a proton. The first structure has a fixed lone pair and can accept a proton better than the second structure with a positive charge.
In the next one I need to explain why hydrogen A is more acidic than hydrogen B
The conjugate base, after hydrogen A is deprotonated, which leaves a negative charge. Since there is a double bond, this resonance structure delocalizes negative charge from oxygen to a greater degree. This stabilizes the structure, which makes it more acidic. However, hydrogen B is one step farther than hydrogen A and takes more electronic energy to donate a proton.
Do any of you have better ideas? Or, can you help me improve my answers?
Thanks in advance for all of your time and help.