A MEIR confers SEIR privileges but a SEIR does not confer MEIR privileges.
You do not need to hold a MEP Class Rating before commencing the MEIR course but you need to have completed the 6 hours minimum training requirements for issue of a MEP Class Rating.
This is done immediately prior to the commencement of the MEIR training, and you then go straight on to the IF training.
The MEIR skills test includes both VFR and IFR phases of flight and the general handling phase will include all those elements that would be tested on a MEP skill test. The MEIR skill test in this case will include both the MEIR and MEP Class Rating.
Hope that helps.