You seem a bit confused with the whole input and output profile thing.
Just think of profiles as an 'interpretation' to go from one device to another. See the image attached.
When an image is created in say Photoshop or a scanner it is assigned a profile so another device will know how it should look. In most cases when someone gives you a file you won't know what profiles it's been assigned so you have to guess and use the Photoshop standards - US Web Coated (Swop) v2 for CMYK and sRGB IEC61966-2.1 for RGB. You can always experiment here if you like to see what happens.
You will also usually be given the option to choose a rendering intent.
Relative colorimetric is usually your best option here, or try perceptual if you want to see what difference it makes. Use the same intent for vectors and bitmaps or you might get different colour when images and vectors are mixed together in a document.
The output profile will be the profile specifically created for your printer, ink and media. No need to change this just make sure it's accurate and the correct one.
I understand what the input profile is suppose to do. But you are right, I am confused. Where I am confused is when it will affect my print. For example, In SignLab I have an option for color management- I can turn it off, original, enhanced or custom. Does this affect my print? If I set it to off what Input profile gets used? Also If my friend builds me a file (In SignLab) and sends it to me does the profile come with it? All these things would make a hugh difference on my print I think. I did some test prints yesturday with the Color Management settings (Not in the RIP, but in the Regular singlab part). I made a couple of boxes, colored one RGB 255 Red and the other Red M100 Y100, I then sent these to the Print (Using signlabs VPM) I printed them with different settings in color management and they all printed the same. But I know in the past, when I messed with that setting it did change the print. So I am wondering, is there something in the VPM that is changing that now? Understanding how Signlab uses its color management is key because that is the only way to know that you are creating a profile without "Input Profile Infulence" Also, wondering if someone sends me a file- How can I tell if it has an embbeded profile and what it is?
Again Thank you everyone for your input, I am learning A LOT!!