Both these problems are very indicative of an improperly done "trigger job".
Since there's no practical way for you to know just what was done, you'd be best seeing a real pistolsmith or returning the gun to S&W.
WARNING: Simply replacing the hammer and trigger is NO guarantee that will fix the problems.
Often the "do-er" has also altered springs, and may have altered other internal parts.
It's not unusual for these amateur "gunsmiths" to grind or attempt to polish internal parts, which invariably breaks through the hard coating that prevents the part from wearing, ruining them.
Point is, you need an expert to look it over and determine just what's been damaged and to replace those parts with parts that are compatible with that specific version of S&W.
S&W parts DID change over the years, especially during the last 30 or so, so any parts you may buy might well be the wrong parts for that version.