I just starting learning to sing this year.
For the last 6 months I have sung with my towns chorale and plan to go back this fall.
I am a 56 year old female. (I just used a calculator to figure that out).

They put me in the Alto 2 section.

I finished the Beginner Level 1 with Jonathon.

I am wondering if I should switch over to Level 2 with Camille or stick with Level 2 with the low voices. 

I have a hard time going from chest to head voice and vice versa.
It is easier from me to go from head to chest voice but this seldom happens
in any Alto 2 part, so: probably I need to work on this.

I would like to try to hit higher notes more consistently in octave 5-6.
I THINK my highest chest voice note is: Bb5
Lowest chest voice: F3-A3
But I am a new singer so maybe I am wrong

Just sitting down at a piano I am more comfortable in this range A3-Bb5
with G5 being my breaking point doing a 1-3-5 warm up from middle C from low to high.
If I go from high to low doing a warm up I maybe could hit a C6 but not in a song singing
with the chorale as it seems so far the alto 2 parts seem to more often go from low to high.

I am also sitting in on a music theory course and am trying to read music - especially trebble clef notes in my range (these would be bass clef on the piano) and various key signatures so that come fall I can work on reading a note that is flat/sharp and singing it correctly. Currently I just match the piano, but apparently my son (trumpet player) says I sometimes hit the note in whatever octave I can rather than the one it is written in. :0 So, there is that very annoying feature of singing next to me that I would like to iron out.

Hi, Leslie! Definitely switch to my (Camille's) courses. You'll have a much easier time singing along in the range I demonstrate, and it'll be easier to match my pitch in the correct octave as well. Happy singing!