Yes, Bifen IT can be used in a hose end sprayer. You will use 1 fl. oz. of solution and 5.5 ml of Nyguard IGR per gallon of water. You will put the concentrate directly into the cannister, and the tube will automatically use how much you have on the dial. It will disperse with each gallon that comes through the hose. You will need to be as accurate as possible when using this method. Please let us know if you have any additional questions.
When doing a soil barrier treatment for termites, it is important to treat directly against the structure on all sides of the house as close as possible. Against the foundation of the home, dig a 6 x 6 trench around the entire perimeter. Where carports and concrete patios are existing, you will drill 18-24 inch holes 2-3 inches off the foundation wall 10-12 inches apart. This will ensure the soil under that concrete slab is protecting the actual house foundation. Please read our on How To Perform A Termite Treatment Article for more detailed instructions and recommendations.
While Bifen IT is labeled for termites and will last up to 5 years in the soil, we would recommend using Termidor SC or Dominion 2L for termite soil barrier treatments. Termidor SC bonds to the soil after 24 hours and will last 10 years and Dominion 2L will last for 7 years.
We are not sure what type of worm would be considered a "red worm" as you have described.  If you are referring to earthworms, Bifen IT is not labeled for earthworms, because they are a beneficial but it may cause harm to them if they contact a treated area.  Though they are pretty protected by the mucus on their bodies. This small amount of product needed to kill tiny insects would not be enough to harm a bird if they were to ingest a worm that would have contacted the product.
Bifen IT is not designed to kill on contact and even when you spray an insect directly it can take several minutes or longer to kill it. It will help to kill the ones that contact a treated surface as well as their food source, but how long it takes to kill after application depends on age and health of the insect, how long after application they contact the treated surface and how long they spend on the treated surface. Spiders themselves are harder to kill as they do not groom themselves and have the long legs to keep themselves off the ground and in more contact with a treated surface. We have a great guide here for treating spiders that might also help. If you are going to be spraying spiders directly each time, you could add a product like ExciteR to Bifen to give it a faster initial knockdown only.
Bifen IT is for insects only and will not treat fungus or other causes of spots on plants. It is important to identify the disease on your plants so that you can select a product that will work for your needs. You can contact your local cooperative extension office and speak to the master gardener on staff for help identifying the type of disease on your plants
Bifenthrin and Bifenazate are used to treat different types of insects. Bifenthrin is mainly for general pest control use and is an ingredient in products such as Talstar P and Bifen IT. Bifenazate is a type of miticide and is an ingredient in products such as Floramite SC and Sirocco Miticide. We would not recommend rotating these two products for mite control. Bifenazate is a good active ingredient for spider mites, as well as Abamectin, which is the active ingredient in Avid 0.15 EC.