Here's another "conversation" concerning some confusing things in the readings.

I'm confused about the "Tablets". The tablets of the Testimony were inscribed by the finger of God, which Moses smashed. In Ex. 34:1-7, God said that he would write on a second set as he did the first. However, Ex:27,28, God has Moses doing the writing.

Taken at face value it appears as if there is a conflict. We know that when there is an "apparent contradiction" there is something WE don't understand. We often think that the Ten Commandments were the only things written on the tablets. After looking carefully at all the words again, we know that God did indeed write the commandments on the first set of tablets. As for the second set of tablets, God said He would write them again. In Ex. 34:27, God tells Moses, "Write down these words..." Could it be that the words to which He is referring are the previous words concerning the treaties, the smashing of the other gods and their altars and monuments? If so then that would make sense then when verse 28 says that "he wrote on the tablets the words of the covenant - the Ten Commandments." The "he" would be God and not Moses. There is some clarification on page 216 Deuteronomy 10:1-5. These verses indicate that it was God who wrote the Ten Commandments. It appears that Moses wrote some of the details, such as all the other laws, the commands about the treaties, etc.

Were there actually two different sets of tablets (not including the smashed ones).?

Both times there were two separate stone tablets. It was the Ten Commandments plus all the other rules that we'll read about later. There was more information there than just the Ten Commandments.

Were the tablets of the Testimony different than the tablets containing the 10 commandments?

They were the same.

Why did God write some and then have Moses write some?

God wrote commandments 1-10. Moses wrote the rest.