"Then I continue the trip to BANGKOK. Which are the places I must see?"
boracayIts usually only the larger resorts that are linked up to travel agents or have websites. Many of the smaller budget places can't be booked through agents anyway. They're...
Grand Palace and the Temple of the Emerald Buddha, Wat Po and its reclining Buddha, take a boat trip up a canal, the National Museum, Chinatown, Pahurat, high tea at the Oriental Hotel, Thai boxing, and if you have time left over, the Ayuthaya ruins and the Bridge on the River Kwai.
"Which are the comfort and inexpensive hotels? What are the things or the hotels to avoids?"
Try to stay in Banglamphu which has many cheap hotels and is near most of the sights. If you are really on a low budget, stay in one of the guesthouses in the Khao San Road for less than 10 USD per night.
Things to avoid - don't buy gemstones or jewelry unless you really know what you're doing and can tell real ones from fake. If a tuk-tuk (basically a golf cart taxi) offers to take you around the sights for a very low price, don't go - he'll just take you to stores where he gets a commission, and waste a lot of your time, and drop you off in the middle of nowhere if you complain. Thai mbuttage can be wonderful, but make sure that the place you choose offers an actual mbuttage and is not a front for prosbreastution. And whatever you do, don't buy drugs in Bangkok - the Thai government has become very strict and the tourist areas are full of undercover police.
"It's an honor if you don't mind providing map for the nice places you recommend."