Yes, Talstar P and NyGaurd IGR can be mixed together and applied at the same time. You want to apply at a rate of 1 oz Talstar to 3 ml of NyGuard into one gallon water.
Bifen IT and/or Talstar P and Tempo SC Ultra are very good products for mosquito control. The biggest difference between them is that they have two different active ingredients. They are both great insecticides and can be alternated so that there is no pest resistance built up.
Talstar P (Talstar One) dries within approx. 2 hours. After that rain will not wash it away for at least 2-3 months.
Talstar P (Talstar One) is a great product to use for Bagworms on Pine trees. In fact, it is our number on recommendation for Bag worms. Yes, Talstar will kill insects shortly after they come in contact with it. It is important to keep in mind that bagworms are very difficult to control with chemical methods once they have matured and formed their protective "bags." See our Bagworm Control Page for more details.
Yes, Talstar P will kill any flies that come into contact with a treated surface. You may want to take a look at our Fly Control Guide for more information on treating and preventing this pest.
The application rate of 1 ounce of Talstar One per gallon of water is correct, as is treating in the evening when the insects have come out of hiding and are exposed. You can retreat after 2 weeks in most cases. You should notice a reduction in the number of army worms within the first few days but because the moths can migrate from just about anywhere, you may continue to see them (the moths do not cause damage).