You might want to try using a Factory powered by a data provider, wherein the data provider would feed off of an excel spreadsheet, to create test class instances and the test class can basically have one or more @Test annotated test methods that can use the value passed to its instance to do its task.
Sequential execution can be easily controlled by the data-provider-thread-count and the parallel attribute of the @DataProvider annotation.
With respect to the parameters and the test suite, you would need to share a bit more context around it so that someone in the forum can help you out with an answer.