Question 1 - 
I have some yearling fig trees (approx 1 ft height) in air pots. How cold can they go before I have to worry? It doesn't get too cold in Seattle but it does dip into the low 30s occasionally. I also have a frost cover I put over them if it dips near freezing. The usual winter temps are low 40s high 30s through the winter.

Question 2 -
I started some cuttings in moss. I wrung out the moss so nothing was overly wet. I also have a plant heating pad underneath it because my house stays in the 60s, sometimes colder, when we aren't home and at night. Do I need to air them out every so often? 

When I checked on them today it was starting to dry out so I spritzed them a bit. Last season's cuttings bit it from mold so I'm cautious. 
They are in a plastic container - not a plastic bag. If that matters.

Is there a plastic cover over the cuttings?  If not you don't have to air them out.

As long as the year old figs were alowed to go dormant over time you should have nothing to worry about.  Green growth that goes from 60 to 30 may get killed, but a gradual cooling shouldn't harm them.

I second that.

Our winter will probably not kill yearling figs.  Keep my fingers crossed.  Just to be cautious, keep those yearlings against wall of the house (maybe east or south side). 

I disagree if its air pots. You have everything to worry about.  Make sure to water well during winter.  They don't act like regular pots.  I lost 3 rare varieties to them

during the winter, you do need to check for the water in the pot. if it's air pot, it might loose water faster so, check occationally. even in traditional pot, my 1 gal containers with 1 yr old cuttings are all drying up faster than bigger pots. i lost all my cuttings last winter due to not checking their water.

for the cuttings still in platic box and what not, do check for molds and air them out occasionally. i use baggie, and i check them every other day at least. i moved all mine to cup few weeks back, but there are about 4 still in the baggie, i change the bag yesterday due to too much moister in the bag from the paper towel. they are doing much better.

Nichole,

I'm using the clear plastic shoebox containers to root my cuttings and I feel its necessary to check every day or two for mold.  I noticed some tiny fuzzy mold on the moss, which I think is due to the wetter environment.  With the cuttings buried deep in the moss, I think they stay pretty protected from the mold, but the surface tends to be most vulnerable.