Your first weed is creeping charlie a.k.a. ground ivy. Here is our weed gallery page about it: http://www.extension.umd.edu/hgic/ground-ivy It's not really scientificly described as 'invasive', but it does get around when conditions are right and will grow in areas where grass has trouble- like in shade under evergreens.
Your second weed may be the first year leaves of garlic mustard. Crush it and smell it. This one IS classified as invasive. It's a tricky one though...as a biennial which takes two years to mature and set seed. The first year it is a welll behaved low-growing rosette, but the second year it shoots up and make white flowers, which we are seeing bloom in broad patches in many areas of Maryland right now. Here is a page about it: