If the car will not start, the most likely problem is worn or corroded solenoid contacts in the starter. Usually, these parts can be replaced without purchasing a new starter.
Problems for specific Toyota Celica years:
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Most reported 1998 Toyota Celica problems
Sludge can build up in the engine because Toyota did not recommend frequent enough oil changes. Lexus will sometimes offer a discount on cleaning the engine if necessary. Owners who changed their oil every 3,000 miles did not experience these problems. This sludge build up can lead to excessive oil consumption.