Srs light on and transmission in safe mode - 2003 Mitsubishi Galant

What is "safe mode"? Do you mean transmission is in fail safe mode (Limp home mode or stuck in high gear)?
Probably missing 12v down to the transmission. At the transmission connector with ignition in on position look for pin E it should have 12v. If it's missing you have a bad fuse or bad ignition switch.

Here's a list of the codes.

I believe fail safe mode is usually direct drive which in most 4 speed transmissions is third gear. As far as what could cause this could be many things, electrical, clutch leakage or transmission oil bypassing the clutch that the transmission wants to engage, clutch slippage which could be the friction disks in a certain clutch that don't have any friction material left on them. IE like a brake pad the friction material on the pad once it is gone the brakes don't operate very good you have metal to metal contact you need to change your brakes. same concept. Are their any codes? Did the check engine light or transmission light come on? If you have a light try and see what the light says by scanning the computer. this should give you a good place to start.

Whenever this warning light or any other stays on in the dash it is indicating that the systems control module (or the system sensor in the case of lights like low oil pressure, door open indicators etc.) has detected a fault, it then disables the system (this applies to ABS,TCS, TCM, SRS and BCM faults and others) as long as the light is on. You must now have the dealer hook up a special electronic diagnostic tool and "scan" the system for the fault code that is stored for the problem(s)

Legend of Abbreviations. ABS Antilock brake system.TCS Traction control system, TCM Transmission control module, SRS Supplemental restraint system, BCM Body control module

Try removing the battery for half an hour or so and then reconnecting (check you have all your radio codes etc before you do this).

Yes the SRS (air bags) light could be related to the horn problem. Working on the SRS can be very hazardous so I highly recommend you take the car to your local Honda dealer and let an expert repair the SRS. The check engine light can be many things and a scan of the ECU will help in diagnosing the problem.

you should also replace the input speed sensor,they should always be done in pairs and i have had both of them bad on numerous vehicles,hope this helps

Yes a scan must be done and it will not cost much.

Though you can drive around with the seat belt but it is not too safe.

See the dealer please.

ok first the srs light is on when there is a malfunctioning with the airbag system, need to get that check out, and about the transmission you should check the fluid to see if it is on level of if it needs a flush.
Here is how to do that..
1- open hood 2- by the driver's side on the engine there is a dip stick that says transmission fluid 3- check if it is in right level
if it is not recomend a transmission fluid flush and check transmission
thank you good luck

blown fuse is a sign of a problem of a bad elect. circuit,grounding wire,wires touching each other,pinched wires,corrosion in elect.connection,unless its a common problem it can be hard to find!seems theres no quick fix,maybe they should refer you to some one that specializes in car elect.problems.