Do not have the owner's manual for the 2004 Jeep Wrangler Rubicon. Would like to have the instructions for the removal of hard top, rag top replacement instructions, etc.

ebay or craigs list might save you some money..

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It must be a soft top? but if not does it leak when you turn or is it there in the morning when you get in? It could be the vent on top right behind the hood

where inside the jeep is it wet? I believe the unlimited model was all removable hard top. any way check the seals around the removable top and at the windows. but that is the best i can do w/out knowing where inside your jeep it's wet.

remove front d/s

look at this : http://www.jcwhitney.com/Auto-Parts/10101.jcw ( keyword owners manual)- or - http://www.jcwhitney.com/autoparts/Search?catalogId=10101&storeId=10101&sku=owners+manual-or - http://www.jcwhitney.com/autoparts/Product/Pr-p_Product.CATENTRY_ID:2006798/c-10101/Nty-1/p-2006798/Ntx-mode+matchallpartial/N-10101/tf-Browse/s-10101/Ntk-AllTextSearchGroup?Ntt=owners+manual

www.Jeepfourm.com these guys will have write ups and links to vids on your hard top and soft top questions. Pretty much once you do it once it will start to come second nature to you. As far as a manual goes buy one herehttp://www.jeep.com/en/owners/manuals/ or ebay. It has tons of good to know info for the Jeep owner. See ya on the trails.

The speed sensor is located on the left side of the transfer case extension .

sounds to me that you may be having air pump issues, or your having rocker switch issues, I would lean toward the pumps though, just replaced mine in my 03 rubicon and problem solved, also insect the vacuum hoses going to each locker, make sure they dont have any holes/ cracks

I've had this problem on vehicles with 70k or more miles on them. Symptoms include rough or uneven idle and dying. OBDII showes no codes.

Bad fuel, vacuum leak, low fuel pressure, carbon build up, inoperable fuel tank ventilation, poor grounding, low voltage, intermittent relay contacts are possibilities.

The simplest and mostly likely problem is:
Carbon build up inside the butterfly. With the engine off, pull the intake off. Use injector cleaner and a shop rag to clean the intake throat where the butterfly is. Use a plastic or wood handle to hold the butterfly open to get both sides cleaned. If this doesn't clear the problem, check for vacuum leaks, loose hoses etc.

Check fuel pressure and replace the fuel filter if it's low.