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Your rifle was made by Marlin for Sears, but used a different serial number sequence, making it difficult to date it precisely. The JC Higgins name was only used on the model 45 from 1958 to 1961. By the way, that is a really good deer rifle.
your marlin model 336A was made by marlin in 1950.
Your Marlin model 336CS(Carbine Sporter)was made in the year 1987.
Remington Model 550-1 does not have serial numbers.
with the prefix letter c it was made in 1982 or 2008.
Marlin
It is a Marlin 336 carbine as made for Sears.
The AA prefix to your serial number dates your marlin model 336 RC(regular carbine) to the year 1965.
1955.
1968
1950
Check the date code on the Remington Society of America here: http://remingtonsociety.com/rsa/questions/barrelcodes