My son has had a paper route for the past 2 years and the income has always reported on his SSN as 1099 income. The newpaper company is changing policies and will no longer hire minors. If I put the route in my name and receive a 1099 for the income and the issue a 1099 to my son paying him the entire amount. What are the tax implications for me? i.e. - self employment tax, etc.

That's one way to handle it. Your son would be considered a sub-contractor.

Nothing wrong with it at all. You will have to file a Schedule C. Since all the money goes to your son, no sel-employment tax will be due.