The USMC barrel is obviously a replacement barrel. Sedgley barrels can be good barrels. There is a good probability that the USMC barrel was not put on as an arsenal rebuild. It could have been but most of the 1943 and 1944 Sedgely barrels were sold as surplus and not used in government arsenal rebuilds. If the USMC installed the barrel then you would want to look of vice marks on the barrel under the forearm. Also possible a large punch mark in front of the serial number. Some of the 1943 and 44 Sedgely barrels were scraped, being bend, then sold as scrap with some enterprising individuals buying the barrels and re straightening them and then selling them. I have had 2 USMC 1944 barrels on rifles and neither one was bend an both gauged as new.
All of that being said. If the barrel is good and straight and the stock is a USGI C stock with any cartouches then $600 is a very good deal.
Do you know what month the barrel is dated? What is the serial number of the Remington receiver, early or late production? All milled parts or some stamped parts?
And really, no matter what the answer to all the questions are, if the barrel is straight and there are no extra holes in the receiver then $600 is a good price for a good condition 1903?