The JC Higgins Model 45, chambered in .35 Remington, was produced during the 1950s. The serial number can help determine the specific year of manufacture, as these rifles were made by High Standard for Sears. Generally, you can obtain a more precise date by consulting specific serial number charts or resources dedicated to JC Higgins firearms.
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.
Marlin
Remington Model 550-1 does not have serial numbers.
with the prefix letter c it was made in 1982 or 2008.
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