Pics:
Okay, you... have a control problem, to put it mildly.
First of all, add
large control surfaces to the main wings, and swap out the tailfins for Standard Canards.
Then, using the right-click menu: disable ALL control for the advanced canards you have in the middle pointing forward, as they will serve no practical purpose in that orientation. For the standard canards up front, disable everything but pitch. For the large control surfaces you added, do the same - pitch only. The standard canards that will replace your tailfins should be set to Yaw only.
This configuration should ensure that your plane is somewhat aerodynamically stable. If you have problems getting enough roll authority, rearrange the large and small control surfaces so that the small roll-only surfaces are on the wingtips, and the large pitch-only surfaces are closer to center.
I don't know if the thermal thruster has vectoring, but from what I see your problem is a horrible aerodynamic disbalance. The moment you try to oversteer this thing, it will go into a tumble. Less of a problem in thicker atmosphere - it probably has enough lift to make it relatively unnoticeable during takeoff, and you probably don't try to do aerobatics with it, but when you're in the final stage of leaving atmosphere, you will generally try to point your plane's nose away from your movement vector, upwards, and when you do that you will immediately lose all manner of control over your pitch.
Plus, by the way, that thing you put behind the inline docking port is an air intake. Make sure to close it when you switch to rocket mode.