We would not advise of using a hose end sprayer to apply Adonis 2F as a soil drench.
Yes, Adonis 2F is a great systemic product for treating trees with aphids. Please refer to the product label for mixing and application instructions. It can also be applied once every 6 months up against the structure (1 ft up and 1 ft out) for an insect barrier for crawling insects including ants.
Adonis 2F Insecticide/Termiticide can take up to 8 weeks to be translocated throughout the plant and is best applied when roses are actively growing (but before pests are present) to be able to absorb the product. You will need to water in daily for 7-10 days after application to get it to the roots effectively. Applying closer to the time the beetles become active would be best.
If beetles are an issue now it would be recommended to treat the foliage directly with something like Talstar P, taking care to avoid spraying the blooms. While Adonis 2F Insecticide/Termiticide could be applied to the foliage, Talstar will have a faster kill as it does not have to be absorbed by the roses. Insects just have to contact a treated area long enough to receive a lethal dose.
While Adonis 2F Insecticide/Termiticide will kill Termites that contact the treated areas. There are better options.
For drywood termites in general and in furniture, our suggestion would be to treat all new wood and untreated wood with Boracare. Boracare will absorb into the wood and kill any infestation already there plus protect your new wood. However, it can only be used on untreated and raw wood.
For any wood that is treated or can not be removed, we would suggest drilling little holes and injecting a product into the galleries such as Alpine Ant and Termite Foam which will foam through. It has a transfer effect so the termites will transfer it to other termites in inaccessible areas.
You should perform a liquid termite treatment in the ground to get the termites where they are entering your house or for preventative treatments. To perform a treatment just as a professional company would do, please read our How To Do A Termite Treatment Article which explains exactly how you should treat your home properly. Doing a treatment like what is described in the article will not only take care of existing termites that you have, but it will also protect and prevent future termites from entering for about 7 years.
Here is a link to the article: http://www.domyownpestcontrol.com/termite-treatment-c-3_352.html
Adonis 2F is not labeled to treat mites or fleas. It is labeled for treatment of aphids systemically. If you soil drench around the base of the tree for aphid control, you will need to get the measurements of your trees to determine how much product will be needed for treatment. Please refer to the product label for mixing and application instructions.
I would recommend applying the products from our Outdoor/Indoor Flea Kit to the interior and exterior of the home when the pets are not in the area. Please click on the link for more information on mixing and applying the products for flea control.
For treating the pets with fleas, please click on the link below for some great choices on topical flea treatments.
http://www.domyownpestcontrol.com/pet-flea-control-c-24_384.html
We would recommend having the mite properly identified by your local county extension office first. There are many species of mites. You will find the contact information by clicking the link below.
http://www.csrees.usda.gov/Extension/index.html