Wrong Plan name on 5558--what to do

Plan name is different than employer name.  But we filed the 5558 with the ERs name as both the ER and plan names.

For example:

Employer:  Connecticut Fencing Company

Plan name:  Fences 'R' Us 401(k) Plan

5558 filed with plan name:  Connecticut Fencing Company 401(k) Plan

EIN and PN are correct.  Will we have a problem?  Software is giving me a warning.

1.  File an amended form?

2.  On next year's filing, use Line 4 to "change" the plan name?

1 hour ago, david rigby said:

1.  File an amended form?

2.  On next year's filing, use Line 4 to "change" the plan name?

I'm in a similar boat but haven't filed the 5500 yet. Is the plan name really important for the filing? I'm planning on doing #2 next year anyways as I'm switching providers and want to switch my plan name.

My guess is if you get a letter you can explain it in a letter.  I know I have explained the wrong EIN once years ago that way and the IRS was fine. 

Wrong on the 5558.

Sorry, just realized the OP was way misleading.  Edited.
 

This all has to do with, and only with, the 5558.  No 5500 or 8955....