I was told last year on inspection that my 2002 Honda Civic LX sedan needs a CV axle boot. I contacted the nearest dealership and was informed that due to supply chain disruptions, the part was out of stock and they would notify me when it became available. It's been almost a year and I never heard back and couldn't follow up on it because of incapacitating health problems. I tried again today to contact the service department. Whoever answered said they would get back to me. It's been almost 2 hours.

A friend of mine said that because I waited so long, the whole axle may need to be replaced.

Also, I would like to know what would be a reasonable price for this service.

 

I would not replace the boot but would replace the whole axle.
Not through a dealership but through a reputable private mechanic.
You can buy new, higher priced, or rebuilt and warrantied, much cheaper.
If one axle boot is torn, the other one is probably close also.
Then take into account wear and tear on the axle itself and you are far better off to replace the whole axle.
Dealerships use (OEM) Original Equipment Manufacturer parts but you pay many times more for the parts and labor.

A rough guess on cv axle replacement for a private mechanic would $300-$400, dealership $800-$1,000.
Sorry, I replaced mine last summer with a new one off Ebay and put it in myself. Total cost - $35.00.

 

You are fortunate you can do the labor yourself. I'm an older woman with no mechanical skills. I did take it to a Honda dealership. They reported that the axle boot looked fine but they did discover the oil pan an cam plug were leaking. They also said the battery was bad and they could put a new one in for $170. I only had that battery a short time, so I told them I'd have it tested at the place from which I purchased. I also declined to have the oil pan and cam plug, the repairs which would cost $922 counting tax and that it was "labor intensive" and take quite a while. I did have the battery tested at the place of purchase and the tech there said it was fine. However, because my safety inspection was due, they said they do a free inspection, but found that to pass, the car needed rear sway bar ends links which ended up costing me $323. Below was the dealership's invoice:

 

The sway bar end links are a part of the suspension and will make the car drive better after fixed and are needed to pass inspection.
The $88 for the parts I can go along with but the over $200+ in labor is high.

The cam plug and oil pan gasket will be seeping on 90% of all used cars.
This is not life threatening and may only put a few drops of oil on the garage floor.
It is a money maker for the dealership.
Count all the heads working at a dealership that needs to be paid.
They have to charge those rates to pay the help and a healthy profit.
This is why we refer to them as a Stealership.

Ask around with your friends and relatives for who they use for a mechanic.
There are good, honest mechanics out there who will treat you honestly and as a person and who will look after your car as if it is theirs.
It can be a larger or one man shop and you just need to find it.
The sway bar links will be a cheaper test to see if YOU are satisfied with the work done by the shop and the price.
If happy, you can then ask their opinion on the matters the dealer brought up and look into it for you.
Good luck finding a reputable shop.

I reread your post and see you had the sway bar links replaced at the dealership.
Now you have time to find that shop.
Good hunting?

 

Thank you for your insightful reply. There are no oil spots underneath where I park the car in the garage. That's why I hesitated having it repaired.