In terms of albums, Tormented was their first independent release. In terms of singles, the first to be released was the song "Mudshovel" from their second album Dysfunction.
The Way I Am - Staind song - was created in 2008.
How About You - Staind song - was created on 2003-12-23.
The song "Right Here" by Staind was first released on June 7, 2005. It was the first single of the album "Chapter V" (also released in 2005) by the same artist.
Just Go - Staind song - was created in 1999.
The song "It's Been Awhile" performed by Staind was first released in April 2001. It was taken from their third studio album "Break the Cycle" and their best-known song - at least till now.
Right Here - Staind song - was created on 2005-06-07.
Staind's first album was Dysfunction.
The song is "Open Your Eyes," the first track on their third album Break The Cycle.
"Right Here" was the first single from Staind's fifth album "Chapter V". The song was released on June 7, 2005 and peaked at #55 on the American Billboard Hot 100.
The song "Outside", performed by Staind, was on their album "Break the Cycle". This album was released in 2001, and "Outside" was the second song released as a single from this album.
The band Staind released the song "Outside" in 2001. The complete lyrics for the song "Outside" may be found online using the the website Metro Lyrics.
I believe Staind is the band you are searching for.