Inflammatory markers like ESR and CRP are, as the name implies, markers of inflammation. The problem lies in that they are very non-specific. As such, they become elevated anytime there is inflammation in the body for any reason. Most commonly this is due to an infection, including minor colds. Inflammatory conditions such as arthritis can also cause an increase.
If they continue to be elevated without returning to normal you may want to consider seeing a rheumatologist. These are specialists in autoimmune disorders. An elevated CRP and ESR in an of themselves do not indicate a rheumatological disease; however, of the vast array of specialists that are available, this probably is the best place to start.
Advice and opinions given are based on the information provided and must not be considered an official medical recommendation. The limitations of the internet prevent an appropriate evaluation. Always consult your doctor if there is concern.