After Noah's ark landed in the mountains of Ararat, did he wait a whole YEAR aboard the ark?

No.

Genesis 6:8

SDA

Question #1: After Noah's ark landed in the mountains of Ararat, did he wait a whole year aboard the ark?

Answer #1: If a year was 365 days long, Noah was in the Ark 375 days from the 17th day of the 2nd month of the 600th year until the 27th day of the 2nd month of the 601st year (for his entire journey).

However, some Bible scholars say that the Hebrew calendar only had 30 days in a month. This would appear to be taken from verse 4 of chapter 8 which says that from the 2nd month and the 17th day to the 7th month and the 17th day was exactly 150 days, though by our calendar that would be 151 days. If that is true, the entire time in the Ark would be 370 days. These are things I am not sure about, but I do know that it was from the 17th day of the year 600 until the 27th day of the year 601, or in other words, a year and 10 days. The Ark was moving upon the waters for 150 of those days until it came to rest on Mt. Ararat.

Anyways, to answer your question, I'm guessing Noah, his family, and the animals were probably in the Ark on Mt. Ararat for 220 days (370 days minus 150), which would be 7 months and 10 days.

Then at this point when all the waters had been abated from the dry land: God had commanded Noah and all it's inhabitants to leave the Ark.

Question #2: Before the ground dried out enough to farm the land, what did he do with all the dung that had accumulated during the trip, and after?

Answer #2: The Bible does not say. However, Noah was commanded to leave the Ark, so I can't imagine him sticking around the Ark to stockpile a bunch of animal poop. The animals produced enough of it on their own on a daily basis; Which could of course be used to help fertilize soil for future farming.

Question #3: If the flood was merely a local event, why didn't Noah and his family move away from the area?

Answer #3: The flood was not a local event. It was global.

"Fifteen cubits upward did the waters prevail; and the mountains were covered. And all flesh died that moved upon the earth, both of fowl, and of cattle, and of beast, and of every creeping thing that creepeth upon the earth, and every man: All in whose nostrils was the breath of life, of all that was in the dry land, died."

(Genesis 7:20-22)

Question #4: Why labor building a gigantic ark that must have sapped his strength to the point of complete exhaustion, and possible death?

Answer #4: The bible does not say. However, Noah could have hired groups of unbelievers to work on the Ark for money or goods. In addition, Noah could have used animal labor in helping to construct the Ark, as well.

Question #5: From what forest in the desert did Noah get all the wood to build the ark?

Answer #5: The Bible did not say Noah lived in a desert at all. This is just a false assumption. It actually makes more sense that Noah and his family lived near a forest like region seeing Noah descended from Adam and Eve who left a very lush and beautiful place called the Garden of Eden.

Noah's flood was local. Nothing in Genesis (in the original Hebrew) suggests that it was global. Therefore there were not that many species of animals. He could easily store enough food. The manure is not mentioned, but we can assume that it went overboard.