If you haven't autocrossed before, I would highly recommend running at least a few events before making any changes to the car. You really don't
need anything other than for your car to be in safe operating condition to learn a lot and have a great time, but the rules and class structure are such that making tiny modifications can throw you into a class that your car is wholly underprepared and/or uncompetitive for.
If you do some events, you'll learn a lot about rules and classes and then be able to come up with a good plan for your car before you start spending money. And honestly, a very good plan might be to do nothing for a while. Autocross is tremendous fun, but it requires the driver to hone skills that may not get much use on the street. Even the most naturally gifted driver (and face it, aren't we all

) can take a while to get used to it. One of the most common mistakes for people starting is focusing on the car, when you will quickly see that the best thing to work on is the nut behind the wheel.
Fortunately, you will probably find that people who autocross are very helpful. Talk to folks with experience and similar cars. Seek out the fastest people in your region and ask if you can ride with them. Maybe ask if they can ride with you too. It can be great fun and a real eye opener. Many regions run schools, or host national schools like Evolution which can be of great benefit even to a beginner.
For your reference, the SCCA Solo rules are available online here:
http://cms.scca.com/documents/Solo_R...Solo_Rules.pdf
They are very thick, but section 13 starting on p.59 describes the stock category rules. What is important to note is that the rules state explicitly which modifications can be done, it is never a case of "it didn't say that I couldn't..." Here's a clip from the wording on wheel sizes in stock:
13.4 WHEELS
Any type wheel may be used provided it complies with the following:
it is the same width and diameter as standard, and as installed
(including wheel spacers if applicable) it does not have an offset
more than +/- 0.25 inch from a standard wheel for the car. The
resultant change in track dimensions is allowed.
Wheel spacers are permitted, provided the resultant combination
complies with the offset requirements of this section. Wheel studs,
lug nuts, and/or bolt length may be changed.
So the width and diameter have to be the same, and the offset must be within 1/4" inclusive of any spacers. That means that if the GE Fit Sport wheel is 16 x 6 +53 (is that right?) then the allowed offsets would be 47-59. You could use up to a +64 with a 5mm spacer, but good luck finding one of those
Regarding running the sport width on a base, the rules say that all package conversions must be done as a whole, not in pieces:
Except for modifications authorized below, Stock Category cars must
be run as specified by the factory with only standard equipment as
defined by these Rules. This requirement refers not just to
individual parts, but to combinations thereof which would have
been ordered together on a specific car. Any other modifications or
equipment will place the car in Street Touring, Street Prepared,
Street Modified, Prepared or Modified Categories as appropriate.
Configurations involving damaged parts (e.g., blown fuses) are not
typically authorized by the manufacturer and hence are not allowed.
Option package conversions may be performed between specific
vehicles of a particular make and model, but only between configurations
from within a particular model year. Such conversions must
be totally complete and the resultant car must meet all requirements
of this Section. These requirements are not met by simply
pulling a fuse to disable a feature which distinguishes one model
from another.
Alternate parts listed in a factory parts manual are not authorized
unless their use is specifically referenced in the factory service
manual or in a service bulletin for the specific model.
So technically it is not legal. Since autocross is for the most part a self-policed sport, I would highly recommend that you ask your competitors if they are okay with you running another configuration. There's a good chance they might at the local level, but it is a nice courtesy to ask.
Sorry for the novel, go out there and have fun!