sure you can glue most of the wood back together as long as you have the parts from the broken section just be carefull to go slow and do a good job,( check my other post about repair around the gear).
fit the pieces of sheeting into there respective places and use thin CA to glue them back together.
I like the aplicator tips they control the glue so it goes where you need it not everywhere you don't.
med.CA also has more filling power if there is any gaps that need extra glue/or tight bond wood glue works well it just takes more time to set up sometimes clamps and or rubber bands come in handy for holding repairs also
check the formers in the fuselage at the break to see if they need a bit of glue also thin CA will soak into tight gaps and reglue areas that you might not be able to reach otherwise as well.
at the gear area you might need to use some epoxy depending on the level of dammage for that extra strength the landing gear needs.

no-you don't need to remove hardly any covering at all,just enough to access the broken section for repair,you might be able to iron the old stuff down and just patch the gaps.
I did mine because it was so beat,then just a little WT covering on the bottom of the fuse,I would pull the AFS sensor and cover that hole also.

if you run into any trouble just ask i started in the hobby back when you had to build your own planes to fly so I am into the building aspect also.

after having my boys I decided I would come back and start flying again, almost 5 yrs now,I had alot of building time already from years of control line and RC kit building.
but WOW! was I surprised when I saw you could order a built, ready to fly plane, for about the same price I paid in the late 70's my CredCard couldn't come out fast enough.
I have several kit built planes now, as well as a few ARF's I am hopelessly hooked again mostly on WWII warbirds.