For soil moisture, see NASA's Soil Moisture Active Passive (SMAP) program. Their L2_SM_A product "is a high-resolution research-quality soil moisture product that is mostly based on the radar measurements and is posted at 3 km." They have other products at courser resolutions, including soil moisture data based on radiometer brightness temperature measurements, as well as model-derived products. Data product website: https://smap.jpl.nasa.gov/data/ 

https://smap.jpl.nasa.gov/data/

I agree with Mr. Angela, you can get soil moisture data from NASA's SMAP program.And for ground water level data you can delineate ground water potential zone as per given in the paper below. please go through the paper

Are you aware that peat-land fires also occur in temperate Europe? 

Thank you very much, we have severe problem of peatland fire in Indonesia. Regarding of lack of data, we hope can use remote sensing as secondary data.

You can find the problem on the link

http://onlinelibrary.wiley.com/doi/10.1111/conl.12256/epdf

http://onlinelibrary.wiley.com/doi/10.1111/gcb.13516/full

The soil with or without moisture can be determined from the remote sensing technique based on factors like reflectance of radiation and temperature. If it is surface water level in reservoirs. lakes, etc, then the same can also be determined using remote sensing, & using DEM. However the groundwater level can not be determined by any remote sensing technique. This is possible through geophysical investigations conducted on the surface or from direct measurements from the existing wells.

I agree with Mr. Angela, You can also follow below link for SMI estimation.

You can't estimate the water level by remote sensing technique because of its depend on electro-magnetic radiations which is come from sun or other active sources and EMR not capable to penetrate the earth surface. So, required geophysical survey for estimation of groundwater level. However, you can explore groundwater potential by remote sensing and GIS.

https://www.google.co.in/search?q=Poster_Board_01-12-Matic_Varenica-305_paper.pdf&oq=Poster_Board_01-12-Matic_Varenica-305_paper.pdf&aqs=chrome..69i57j69i60.530j0j7&sourceid=chrome&ie=UTF-8

https://www.researchgate.net/publication/312196529_Hydrogeomorphological_Studies_for_Exploring_Ground_Water_Potential_of_Bamel_Watershed_in_Sagar_Madhya_Pradesh

https://www.researchgate.net/publication/312125513_Identification_of_groundwater_recharge_zone_and_rainwater_harvesting_sites_using_geoinformatics_A_case_study_of_karwan_watershed_in_sagar_district_of_Madhya_Pradesh

Regard,

Amit Daiman

Article Hydrogeomorphological Studies for Exploring Ground Water Pot...

Article Identification of groundwater recharge zone and rainwater ha...

Optical remote sensing satellite derived soil moisture products may be problematic (especially in areas with strong vegetation formations) as they are mostly restricted to the few centimeters of the top soil.  However, NASA's satellite gravity mission such as the Gravity Recovery and Climate Experiment can provide water storage changes in catchment stores. You can have a look at the attachments.

http://www2.csr.utexas.edu/grace/

http://www.sciencedirect.com/science/article/pii/S0048969716304272