New X5 Owner -> Oil already leaking!

[Dbp]

Hi everyone!

My name is Diogo, I'm from Portugal and live in Lisbon. I just bought my first X5 (E53 3.0D 2004). It's currently with 135K kms (around 84K miles). It has the facelift 218hp 3.0 diesel and has the sport package which looks perfect. We also have an E30 318i with us, currently in tip top shape.

I'm currently gathering information on what I need to look into maintenance wise on the X5.
After looking at everything I could on the car, I found what seems like a big leak on the engine shield (around the front most hatch on it).

I'm not sure the transmission fluid was ever changed, and I'm still considering if I should do it or not. Currently the transmission has no strange noises and behaves perfectly.

So far, I gathered that I need to change the following as preventive maintenance (any other advice on this?):

- Engine Oil and Filter
- Front and Rear Diff Oil
- Transfer Case Oil
- Engine Breather
- Engine Air Filter

I may look into changing the water pump and TS later in time, as currently they seem to be in good shape. I might do a coolant flush to make sure it has the proper fluid in there though.

Other then this, I still haven't found much to be done, but I'm already worrying about that big oil spill on the engine shield .

Here is a quick snap of him (previous owner put on those grill stripes, already removed them..)


And the now dreaded under tray, that doesn't look good at all...


I'll post some better photos of the X as soon as possible. Thank you all for letting me onboard and I hope to learn a fair share about my new baby around here.