Which Celica, which year, how many thousands miles?
Did you do any recent maintenance or repairs?
Are there any check engine codes?
Are there traces of oil in coolant reservoir or coolant in oil which could indicate leaks in head gasket or cracks in engine?
What are cylinders' compression?
These are my guess: The 2 black plugs mean oil is burned in the cylinders. The oil could cause ignition problems and misfirings, making burbling noise.
Oil in the cylinder could come from a number of causes but most likely due to worn or stuck oil ring on piston.
Try the cheapest fix first, clean and unstuck oil ring by cleaning the engine valves, pistons and cylinders, and get rid of any oil sludge, by adding 1 Q Motor Medic GUNK into engine oil, idle engine 5 minutes, put in new oil and filter. Clean again after 1,000 miles to see if compression improves and engine smoother.