Those front calipers need to be replaced badly. The piston boots are toast from high heat, that is surely the pulling you reported.
Replace calipers in pairs, and it would be smart to also bleed all of the brake fluid out, and consider the caliper hoses too. If it has ABS, try very hard to not allow air to get into the ABS module(air in the line from the master cylinder down to and past the ABS module). Most ABS systems require a special module bleeding tool to get air out of those. Normal bleeding doesn't push any fluid through the module, it just bypasses it.
Try to find a simple golf tee made of wood to plug the brake line when you disconnect the caliper or hose. It should stop the leaking until you are ready to install the new part.