Yes, we may do needful things on this day, i.e. tidying our rooms,--but not scouring them.  We may visit and go out,--but not make it a day of travel.
He who pretends that the observance of this day is "burdensome" or forbids picking up a pin, opening a Letter, visiting, tidying,--was called a "Pharisee" in Jesus' Day and, oh, how He rebuked them for their interpretation of manner of Sabbath "rest"!
"Turn away thy foot from the Sabbath, from doing thy pleasure on My holy day" in Isaiah 58:13 does not mean we cannot eat our meals on the Sabbaths for to do so is pleasure, nor does it mean we cannot walk in the park, or the country, or ride in the country on such days,--but these words mean we must not make the Sabbaths merely holidays,--merely days of vacationing from work, and leaving off the Divine Contact of worship on such Days!  By this sign of keeping HIS Sabbath shall all men (and  Jehovah God in Heaven) know that of the gods many,--we worship as God Him Who CREATED ALL THINGS!