I agree that the first photo is of a daylily. It's not uncommon for perennials to not bloom for the first year or two, depending on their original size, growing conditions, etc., so you may see flowers this year or next to help you ID which variety of daylily.
Can you take another picture of plant 2 and what it looks like now?
Plant 3 might be a euonymus, as kdcon suggested, if the stems are woody. If they are herbaceous, it might be a variegated sedum; 'Frosty Morn' is one example. Sedums have rather thick succulent leaves. Euonymus has tough leathery leaves.
I am of the opinion that in this case you can thank your lawn guys for herbiciding your gooseneck loosestrife! (However, you might also want to rethink whether you want this lawn service doing anything other than mowing the lawn!) I also bought gooseneck loosestrife unknowingly, and it traveled several feet in three years, swallowing up everything in its path. I've worked on getting rid of it by hand pulling and digging (in the hopes of saving other plants in the same garden) for two years now, and though I haven't noticed any so far this year, I haven't thoroughly cleaned out that end of the garden yet.
For what it's worth, there are several plants with the common name of loosestrife, but which aren't necessarily closely related botanically. Some are native, some not, and some are invasive and some not. Purple loosestrife (Lythrum salicaria) is a non-native wetland invasive that is illegal to sell in many states. It is in a different family than gooseneck loosestrife (Lysimachia clethroides), which spreads rapidly, and garden or yellow loosestrife (Lysimachia vulgaris), which spreads slowly. I've learned to find out botanical names (AKA Latin or scientific names) and look them up before buying, either by taking a reliable book on nursery jaunts that gives plants' problems along with benefits, or by making a list at the nursery (but not buying yet) and then getting on line at home and checking in some of the specialty forums with a search or looking them up with Google or something like the U Conn plant database or the plantfiles on DG. It's saved me much time digging things out!
