your trans axle has nothing to do with you losing 2nd gear
it is probably your shift lever bushings, but check the rubber seals and carpeting, sometimes they put pressure against the shifter making it pop out of gear.
There are several things that can cause your 2005 Jeep manual transmission to shift hard between first and second gear. The most common cause is a malfunctioning shifting fork.
If the transmission fluid level is ok your clutch might be worn out.
replace the clutches for third and fourth
1st gear down 2nd gear up 3rd up 4th up 5th up N between first and 2nd gear
Automatic transmission? 2 vehicle will shift only from 1st to 2nd gear 3 vehicle will shift from 1st to 2nd to 3rd gear 4 vehicle will shift from 1st to 2nd to 3rd to 4th gear
It is probably a bad transmission. Sometimes it can be repaired "in the car". Not all transmission shops can do this repair. Most dealers do not repair but rather they will replace. This may not be nessessary.
2nd gear. (the gear you would use from about 15-35mph)
on a 2000 intrigue; car does not shift into 3rd gear or 4th gear. 1st 2nd gear ok
The Ford Mondeo ST220 could be jumping from 2nd gear due to a chipped gear or worn shifter fork. The transmission will probably need to be taken apart to be repaired.
if you drive too aggressive when in 2nd gear it will miss 3rd gear and you must let off and let the rpms fall down to around 3500 and let it shift. The kickdown cable is broken or out of alignment, check it, replace if needed. or... your transmission may be effed