Your Celica looks horrible in your picture. I'm glad you made it out without anything major.
The Celica does have power-assisted brakes (think; power-steering), but it doesnt have anti-lock brakes, so if you stomped on the breaks, attempting to stop, the only things that would happen are your wheels would stop spinning, but your car would continue traveling forward -- and you would leave a nice set of lines of rubber on the pavement up until you finally stopped.
Considering the cost to repair the vehicle (hood, fenders, frame, radiator and etc, but mostly straighten that body out for good overall suspension) the cost for parts and labor will probably be upwards of $5,000, plus at least another $1,000 for factory paint of everything.
At this point, it will cost you more to repair your vehicle than the price of purchasing a "new" Toyota Celica with the same year and near the same miles.
Totaling the vehicle may net you more than what the vehicle was worth prior to your accident. It may be a good idea to look down that path and see if thats the case for you.
If you spend over $6,000 to repair your vehicle, you are left with a /fixed/ car that will always be a "vehicle with 2 major collisions on it's history history," vs using whatever the insurance company will give you for your totaled vehicle and using that towards a new one. You can ask your ins company how much your vehicle is worth if they considered it totaled.
basically;
"fixed" vehicle that will never be like it was before the accidents.
vs.
new/used vehicle that was never involved in any accident.
In a major vehicle accident such as yours was, its not just about replacing the parts and straightening the frame, but down the road there are many other parts that may show-up as being affected by the abrupt stop. Trunk miss-alignment, full suspension slightly off, electronic sensors slightly jilted from their factory locations, seals could start to leak when it rains, wind noises, on and on...etc.
In addition to wanting to repair your vehicle instead of treating it as a "total loss" through insurance, your resale value has taken a major hit. It could be best to take whatever your ins will give you and pickup a new ride. Possibly even a "new" Celica with fewer miles?
This could be your "golden ticket" of opportunity.