Mazda 5 cranks but won't start

What is your question?

Car was running fine, then one morning would not start. Engine turns over normally, and nearly starts, that is it speeds up like it is starting but quickly goes back to just turning over. Tried jump starting it in case the battery was just too tired and had the same result. Car had check engine light on with codes P0455 and P0126. I talked to a mechanic that said these codes would not prevent the car from starting. Someone else said if the battery gets too low, you have to replace it and reset the computer before it will be able to start but I haven't been able to find any info on that. Battery is original, so about 10 years old. Any ideas?

How long has your 2008 Mazda 5 had this problem?

1 week