Are there any incompatible products with Bellhammer Seven and Bellhammer Light? Also, if I put it in synthetic oil (expensive oil) or inexpensive oil, will I feel the effects better if I put it in expensive oil?

Please be assured that neither Bellhammer Seven nor Bellhammer Light are incompatible with any particular oil.
Also, if you compare the effects of low-priced oil and high-end oil, we think that you will feel the effects better if you add it to low-priced oil if you are a general car user (not racing, etc.).