What's your question? Ask

You may get tulips soon! Since you are in the south, I am assuming you purchased pre-chilled bulbs. They should be fine as long as you don't get a freeze anytime soon. If one is predicted, just bring the pot indoors till warm weather resumes.

Here is a fact sheet about chlorpyrifos. I don't know what pesticides are available for home use in India, but it is no longer registered for residential use in the U.S. Chlorpyrifos can be harmful if touched, inhaled or eaten. It also remains in the soil for weeks to years before it breaks down completely. It is toxic to birds, fish and other wildlife.
Termites don't normally eat bulbs. You may be seeing flying ants.

Remember too if you use a soil pesticide it will also kill beneficials like earthworms. Here are common pests of bulbs.

http://npic.orst.edu/factsheets/chlorpgen.html

https://www.gardeningknowhow.com/ornamental/bulbs/bgen/common-pests-of-flower-bulbs.htm

It is not recommended. It is best to wait till the bulb has flowered and the foliage has died back, usually summer or fall.

https://www.gardeningknowhow.com/ornamental/bulbs/bgen/transplanting-bulbs-in-gardens.htm

Plant it now. That is the easiest and surest thing to do. Some spring bulbs, like tulips, require a winter chill period which can complicate growing spring bulbs in Texas. If you do an online search for "Texas spring bulbs" and look over the images, you may find your plant. Then write back or search for "growing X in Texas". One of us may be able to identify the plant by the leaves that are currently showing. It isn't such a long shot, either.

Sure, that's not going to hurt anything.

Most bulbs may be removed from the pot after all the blooms and foliage have died. Separate the bulbs from the old soil and store them in a cool dark place before planting them again in the fall.

Here's a great series of articles on general bulb care that might help:
https://www.gardeningknowhow.com/ornamental/bulbs/bgen